M. Murty

activity

19942023

most citedOn the error term in a Parseval type formula in the theory of Ramanujan expansions

15 citations · 58 across the 22 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NT2017

A lower bound for the two-variable Artin conjecture and prime divisors of recurrence sequences

M. Ram Murty, François Séguin, Cameron L. Stewart

In 1927, Artin conjectured that any integer other than -1 or a perfect square generates the multiplicative group $Z / p Z^{\times}$ for infinitely many $p$ . In \cite{M…

math.NT2017★ 3 cited

Finite Ramanujan expansions and shifted convolution sums of arithmetical functions, II

Giovanni Coppola, M. Ram Murty

We continue our study of convolution sums of two arithmetical functions $f$ and $g$ , of the form $\sum_{n \leq N} f (n) g (n + h)$ , in the context of heuristic asymptotic formulæ. Here,…

math.GR2017

Finite order elements in the integral symplectic group

Kumar Balasubramanian, M. Ram Murty, Karam Deo Shankhadhar

For $g \in N$ , let $G=\Sp(2g,\mathbb{Z})$ be the integral symplectic group and $S (g)$ be the set of all positive integers which can occur as the order of an element in $G$ .…